Find the Value Using the Unit Circle cos(270)

Problem

cos(270)

Solution

1. Identify the angle on the unit circle. The angle 270 is located on the negative y-axis.

2. Determine the coordinates of the point where the terminal side of the angle intersects the unit circle. For 270 the point is (0,−1)

3. Apply the definition of the cosine function on the unit circle. The value of cos(θ) corresponds to the x-coordinate of the point.

4. Extract the x-coordinate from the point (0,−1) which is 0

Final Answer

cos(270)=0

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